415203052992 has 224 divisors, whose sum is σ = 1369190860800. Its totient is φ = 108117614592.

The previous prime is 415203052967. The next prime is 415203053009. The reversal of 415203052992 is 299250302514.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1229884 + ... + 1530692.

It is an arithmetic number, because the mean of its divisors is an integer number (6112459200).

Almost surely, 2^415203052992 is an apocalyptic number.

415203052992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415203052992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684595430400).

415203052992 is an abundant number, since it is smaller than the sum of its proper divisors (953987807808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

415203052992 is a wasteful number, since it uses less digits than its factorization.

415203052992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300923 (or 300913 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 415203052992 in words is "four hundred fifteen billion, two hundred three million, fifty-two thousand, nine hundred ninety-two".